Finite Group DatabasebetaFinite Group Databasebeta| order | 18736 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic2342 |
| unambiguous semidirect product | (C2×C1171)⋊Q8 |
| Sylow | C1171 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18736 |
4690 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49153976, #49153981, #49153983, … |
| maximal normal subgroup of | #49153976, #49153981, #49153983, … |
| maximal quotient of | C2×Dic1171⋊C4, C2×C4⋊Dic1171, C4×Dic2342, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18736, 38);